30u^2-61u-11=0

Solution for 30u^2-61u-11=0 equation:

Simplifying
30u2 + -61u + -11 = 0

Reorder the terms:
-11 + -61u + 30u2 = 0

Solving
-11 + -61u + 30u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-1 + -6u)(11 + -5u) = 0

Subproblem 1
Set the factor '(-1 + -6u)' equal to zero and attempt to solve:

Simplifying
-1 + -6u = 0

Solving
-1 + -6u = 0

Move all terms containing u to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -6u = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -6u = 0 + 1
-6u = 0 + 1

Combine like terms: 0 + 1 = 1
-6u = 1

Divide each side by '-6'.
u = -0.1666666667

Simplifying
u = -0.1666666667
Subproblem 2
Set the factor '(11 + -5u)' equal to zero and attempt to solve:

Simplifying
11 + -5u = 0

Solving
11 + -5u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + -5u = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -5u = 0 + -11
-5u = 0 + -11

Combine like terms: 0 + -11 = -11
-5u = -11

Divide each side by '-5'.
u = 2.2

Simplifying
u = 2.2
Solution
u = {-0.1666666667, 2.2}